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'''Georg Ferdinand Ludwig Philipp Cantor''' ( ; ;  – January 6, 1918#Guinness2000|Grattan-Guinness 2000, p. 351.) was a German mathematician. He invented set theory, which has become a foundations of mathematics|fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite set|infinite and well-order|well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an "infinity of infinities". He defined the cardinal number|cardinal and ordinal number|ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware.The biographical material in this article is mostly drawn from #Dauben1979|Dauben 1979....
Birth nameGeorg Ferdinand Ludwig Philipp Cantor
Birth date{{Birth date|1845|3|3}}
Birth placeSaint Petersburg, Russian Empire
Death date{{Death date and age|1918|1|6|1845|3|3}}
Death placeHalle (Saale)|Halle, Province of Saxony, German Empire
ResidenceRussian Empire (1845–56)
German Empire (1856–1918)
NationalityGerman
Alma materETH Zurich|Swiss Federal Polytechnic
Humboldt University of Berlin|University of Berlin
Thesis titleDe aequationibus secundi gradus indeterminatis
Thesis urlhttp://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN237853094&DMDID=DMDLOG_0008&L=1
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